t       rel_error_r       rel_error_v
    0.00000000e+00    0.00000000e+00    1.42108547e-16
    6.25000000e-03    2.24259512e-12    5.84307609e-12
    1.25000000e-02    4.48461981e-12    1.16855440e-11
    1.87500000e-02    6.72551172e-12    1.75268012e-11
    2.50000000e-02    8.96468747e-12    2.33662155e-11
    3.12500000e-02    1.12016005e-11    2.92032006e-11
    3.75000000e-02    1.34356968e-11    3.50371624e-11
    4.37500000e-02    1.56664108e-11    4.08674771e-11
    5.00000000e-02    1.78931925e-11    4.66935364e-11
    5.62500000e-02    2.01154977e-11    5.25147782e-11
    6.25000000e-02    2.23327608e-11    5.83305954e-11
    6.87500000e-02    2.45445245e-11    6.41404022e-11
    7.50000000e-02    2.67502265e-11    6.99436682e-11
    8.12500000e-02    2.89493516e-11    7.57397482e-11
    8.75000000e-02    3.11414434e-11    8.15280688e-11
    9.37500000e-02    3.33259096e-11    8.73080304e-11
    1.00000000e-01    3.55023595e-11    9.30792509e-11
    1.06250000e-01    3.76702401e-11    9.88409045e-11
    1.12500000e-01    3.98292332e-11    1.04592624e-10
    1.18750000e-01    4.19787762e-11    1.10333856e-10
    1.25000000e-01    4.41185238e-11    1.16064113e-10
    1.31250000e-01    4.62480754e-11    1.21782707e-10
    1.37500000e-01    4.83669097e-11    1.27489368e-10
    1.43750000e-01    5.04746862e-11    1.33183355e-10
    1.50000000e-01    5.25710730e-11    1.38864207e-10
    1.56250000e-01    5.46558197e-11    1.44531678e-10
    1.62500000e-01    5.67283256e-11    1.50185077e-10
    1.68750000e-01    5.87884742e-11    1.55823927e-10
    1.75000000e-01    6.08359410e-11    1.61447963e-10
    1.81250000e-01    6.28703944e-11    1.67056498e-10
    1.87500000e-01    6.48916306e-11    1.72649305e-10
    1.93750000e-01    6.68992561e-11    1.78225943e-10
    2.00000000e-01    6.88931016e-11    1.83785831e-10
    2.06250000e-01    7.08729636e-11    1.89328723e-10
    2.12500000e-01    7.28386536e-11    1.94854184e-10
    2.18750000e-01    7.47898302e-11    2.00361848e-10
    2.25000000e-01    7.67265789e-11    2.05851414e-10
    2.31250000e-01    7.86484992e-11    2.11322513e-10
    2.37500000e-01    8.05555857e-11    2.16774795e-10
    2.43750000e-01    8.24476859e-11    2.22207818e-10
    2.50000000e-01    8.43245242e-11    2.27621352e-10
    2.56250000e-01    8.61862746e-11    2.33015162e-10
    2.62500000e-01    8.80326302e-11    2.38388656e-10
    2.68750000e-01    8.98635827e-11    2.43742007e-10
    2.75000000e-01    9.16792753e-11    2.49074856e-10
    2.81250000e-01    9.34794400e-11    2.54387018e-10
    2.87500000e-01    9.52639655e-11    2.59677936e-10
    2.93750000e-01    9.70331743e-11    2.64947437e-10
    3.00000000e-01    9.87866941e-11    2.70195652e-10
    3.06250000e-01    1.00524630e-10    2.75422167e-10
    3.12500000e-01    1.02247312e-10    2.80626801e-10
    3.18750000e-01    1.03954362e-10    2.85809250e-10
    3.25000000e-01    1.05646004e-10    2.90969712e-10
    3.31250000e-01    1.07322382e-10    2.96107711e-10
    3.37500000e-01    1.08983488e-10    3.01223354e-10
    3.43750000e-01    1.10629271e-10    3.06316366e-10
    3.50000000e-01    1.12259916e-10    3.11386565e-10
    3.56250000e-01    1.13875512e-10    3.16433964e-10
    3.62500000e-01    1.15476167e-10    3.21458614e-10
    3.68750000e-01    1.17061955e-10    3.26460335e-10
    3.75000000e-01    1.18633115e-10    3.31438883e-10
    3.81250000e-01    1.20189623e-10    3.36394639e-10
    3.87500000e-01    1.21731808e-10    3.41327058e-10
    3.93750000e-01    1.23259601e-10    3.46236367e-10
    4.00000000e-01    1.24773236e-10    3.51122581e-10
    4.06250000e-01    1.26272598e-10    3.55985584e-10
    4.12500000e-01    1.27758451e-10    3.60825460e-10
    4.18750000e-01    1.29230347e-10    3.65642110e-10
    4.25000000e-01    1.30688695e-10    3.70435639e-10
    4.31250000e-01    1.32134062e-10    3.75206199e-10
    4.37500000e-01    1.33565887e-10    3.79953742e-10
    4.43750000e-01    1.34984791e-10    3.84678371e-10
    4.50000000e-01    1.36391014e-10    3.89379885e-10
    4.56250000e-01    1.37784274e-10    3.94058490e-10
    4.62500000e-01    1.39165372e-10    3.98714389e-10
    4.68750000e-01    1.40534051e-10    4.03347878e-10
    4.75000000e-01    1.41890588e-10    4.07958523e-10
    4.81250000e-01    1.43235345e-10    4.12546655e-10
    4.87500000e-01    1.44568567e-10    4.17112476e-10
    4.93750000e-01    1.45890077e-10    4.21656297e-10
    5.00000000e-01    1.47200621e-10    4.26177832e-10
    5.06250000e-01    1.48499802e-10    4.30677344e-10
    5.12500000e-01    1.49788196e-10    4.35155133e-10
    5.18750000e-01    1.51066341e-10    4.39611408e-10
    5.25000000e-01    1.52333594e-10    4.44045936e-10
    5.31250000e-01    1.53590686e-10    4.48459183e-10
    5.37500000e-01    1.54837798e-10    4.52851439e-10
    5.43750000e-01    1.56075252e-10    4.57222548e-10
    5.50000000e-01    1.57303058e-10    4.61572780e-10
    5.56250000e-01    1.58521509e-10    4.65902420e-10
    5.62500000e-01    1.59730636e-10    4.70211863e-10
    5.68750000e-01    1.60930746e-10    4.74500887e-10
    5.75000000e-01    1.62122030e-10    4.78769861e-10
    5.81250000e-01    1.63304904e-10    4.83019005e-10
    5.87500000e-01    1.64479559e-10    4.87248830e-10
    5.93750000e-01    1.65645726e-10    4.91459089e-10
    6.00000000e-01    1.66804260e-10    4.95650205e-10
    6.06250000e-01    1.67954812e-10    4.99822595e-10
    6.12500000e-01    1.69097909e-10    5.03976058e-10
    6.18750000e-01    1.70233583e-10    5.08111117e-10
    6.25000000e-01    1.71362295e-10    5.12227898e-10
    6.31250000e-01    1.72484036e-10    5.16326984e-10
    6.37500000e-01    1.73598875e-10    5.20408129e-10
    6.43750000e-01    1.74707258e-10    5.24471786e-10
    6.50000000e-01    1.75809357e-10    5.28518246e-10
    6.56250000e-01    1.76905136e-10    5.32547942e-10
    6.62500000e-01    1.77995200e-10    5.36560715e-10
    6.68750000e-01    1.79079228e-10    5.40557056e-10
    6.75000000e-01    1.80157824e-10    5.44537213e-10
    6.81250000e-01    1.81231101e-10    5.48501671e-10
    6.87500000e-01    1.82298991e-10    5.52450261e-10
    6.93750000e-01    1.83361973e-10    5.56383437e-10
    7.00000000e-01    1.84420326e-10    5.60301774e-10
    7.06250000e-01    1.85473771e-10    5.64205019e-10
    7.12500000e-01    1.86522750e-10    5.68093699e-10
    7.18750000e-01    1.87567700e-10    5.71968116e-10
    7.25000000e-01    1.88608310e-10    5.75828756e-10
    7.31250000e-01    1.89645181e-10    5.79675414e-10
    7.37500000e-01    1.90677982e-10    5.83508641e-10
    7.43750000e-01    1.91707452e-10    5.87328644e-10
    7.50000000e-01    1.92733438e-10    5.91136003e-10
    7.56250000e-01    1.93756292e-10    5.94930540e-10
    7.62500000e-01    1.94776011e-10    5.98712751e-10
    7.68750000e-01    1.95792925e-10    6.02483140e-10
    7.75000000e-01    1.96807001e-10    6.06241487e-10
    7.81250000e-01    1.97818374e-10    6.09988415e-10
    7.87500000e-01    1.98827675e-10    6.13724160e-10
    7.93750000e-01    1.99834500e-10    6.17449173e-10
    8.00000000e-01    2.00839461e-10    6.21163331e-10
    8.06250000e-01    2.01842268e-10    6.24867144e-10
    8.12500000e-01    2.02843349e-10    6.28561041e-10
    8.18750000e-01    2.03843081e-10    6.32245211e-10
    8.25000000e-01    2.04841177e-10    6.35919786e-10
    8.31250000e-01    2.05837969e-10    6.39585074e-10
    8.37500000e-01    2.06833663e-10    6.43241810e-10
    8.43750000e-01    2.07828388e-10    6.46889549e-10
    8.50000000e-01    2.08822286e-10    6.50529022e-10
    8.56250000e-01    2.09815206e-10    6.54160365e-10
    8.62500000e-01    2.10807710e-10    6.57784185e-10
    8.68750000e-01    2.11799910e-10    6.61400314e-10
    8.75000000e-01    2.12791725e-10    6.65009216e-10
    8.81250000e-01    2.13783546e-10    6.68611234e-10
    8.87500000e-01    2.14775257e-10    6.72206404e-10
    8.93750000e-01    2.15767358e-10    6.75795494e-10
    9.00000000e-01    2.16759752e-10    6.79378679e-10
    9.06250000e-01    2.17752421e-10    6.82955793e-10
    9.12500000e-01    2.18745641e-10    6.86527258e-10
    9.18750000e-01    2.19739735e-10    6.90093624e-10
    9.25000000e-01    2.20734468e-10    6.93654827e-10
    9.31250000e-01    2.21730298e-10    6.97211400e-10
    9.37500000e-01    2.22727246e-10    7.00763565e-10
    9.43750000e-01    2.23725617e-10    7.04312043e-10
    9.50000000e-01    2.24725216e-10    7.07856181e-10
    9.56250000e-01    2.25726228e-10    7.11396706e-10
    9.62500000e-01    2.26729275e-10    7.14933904e-10
    9.68750000e-01    2.27733803e-10    7.18467939e-10
    9.75000000e-01    2.28740483e-10    7.21999288e-10
    9.81250000e-01    2.29749014e-10    7.25528066e-10
    9.87500000e-01    2.30759804e-10    7.29054541e-10
    9.93750000e-01    2.31773161e-10    7.32579577e-10
    1.00000000e+00    2.32788744e-10    7.36102393e-10
    1.00625000e+00    2.33806883e-10    7.39623835e-10
    1.01250000e+00    2.34827798e-10    7.43144299e-10
    1.01875000e+00    2.35851558e-10    7.46663589e-10
    1.02500000e+00    2.36878233e-10    7.50182443e-10
    1.03125000e+00    2.37908185e-10    7.53701086e-10
    1.03750000e+00    2.38940941e-10    7.57219005e-10
    1.04375000e+00    2.39977447e-10    7.60737457e-10
    1.05000000e+00    2.41017230e-10    7.64256405e-10
    1.05625000e+00    2.42060604e-10    7.67775865e-10
    1.06250000e+00    2.43107567e-10    7.71295816e-10
    1.06875000e+00    2.44158567e-10    7.74817199e-10
    1.07500000e+00    2.45213404e-10    7.78340005e-10
    1.08125000e+00    2.46272236e-10    7.81864091e-10
    1.08750000e+00    2.47335479e-10    7.85390449e-10
    1.09375000e+00    2.48402889e-10    7.88918849e-10
    1.10000000e+00    2.49474837e-10    7.92449771e-10
    1.10625000e+00    2.50551222e-10    7.95982916e-10
    1.11250000e+00    2.51632557e-10    7.99519370e-10
    1.11875000e+00    2.52718603e-10    8.03058877e-10
    1.12500000e+00    2.53809499e-10    8.06601344e-10
    1.13125000e+00    2.54905585e-10    8.10147824e-10
    1.13750000e+00    2.56006945e-10    8.13698200e-10
    1.14375000e+00    2.57113573e-10    8.17252666e-10
    1.15000000e+00    2.58225593e-10    8.20811017e-10
    1.15625000e+00    2.59343224e-10    8.24374410e-10
    1.16250000e+00    2.60466652e-10    8.27942631e-10
    1.16875000e+00    2.61595724e-10    8.31515439e-10
    1.17500000e+00    2.62730877e-10    8.35094011e-10
    1.18125000e+00    2.63872135e-10    8.38677990e-10
    1.18750000e+00    2.65019547e-10    8.42267844e-10
    1.19375000e+00    2.66173151e-10    8.45863193e-10
    1.20000000e+00    2.67333421e-10    8.49465153e-10
    1.20625000e+00    2.68500285e-10    8.53073600e-10
    1.21250000e+00    2.69673736e-10    8.56688391e-10
    1.21875000e+00    2.70854190e-10    8.60310498e-10
    1.22500000e+00    2.72041579e-10    8.63939703e-10
    1.23125000e+00    2.73235960e-10    8.67575851e-10
    1.23750000e+00    2.74437741e-10    8.71220103e-10
    1.24375000e+00    2.75646948e-10    8.74872139e-10
    1.25000000e+00    2.76863582e-10    8.78532161e-10
    1.25625000e+00    2.78087835e-10    8.82200157e-10
    1.26250000e+00    2.79319939e-10    8.85876996e-10
    1.26875000e+00    2.80559966e-10    8.89562542e-10
    1.27500000e+00    2.81807902e-10    8.93256672e-10
    1.28125000e+00    2.83064165e-10    8.96960316e-10
    1.28750000e+00    2.84328772e-10    9.00673417e-10
    1.29375000e+00    2.85601819e-10    9.04396074e-10
    1.30000000e+00    2.86883398e-10    9.08128153e-10
    1.30625000e+00    2.88173800e-10    9.11870665e-10
    1.31250000e+00    2.89473111e-10    9.15623450e-10
    1.31875000e+00    2.90781346e-10    9.19386287e-10
    1.32500000e+00    2.92098856e-10    9.23160206e-10
    1.33125000e+00    2.93425712e-10    9.26945037e-10
    1.33750000e+00    2.94762045e-10    9.30740962e-10
    1.34375000e+00    2.96107867e-10    9.34547834e-10
    1.35000000e+00    2.97463577e-10    9.38366620e-10
    1.35625000e+00    2.98829221e-10    9.42197149e-10
    1.36250000e+00    3.00204792e-10    9.46039255e-10
    1.36875000e+00    3.01590690e-10    9.49893895e-10
    1.37500000e+00    3.02987002e-10    9.53760907e-10
    1.38125000e+00    3.04393812e-10    9.57640490e-10
    1.38750000e+00    3.05811210e-10    9.61532490e-10
    1.39375000e+00    3.07239583e-10    9.65437852e-10
    1.40000000e+00    3.08678991e-10    9.69356408e-10
    1.40625000e+00    3.10129401e-10    9.73287970e-10
    1.41250000e+00    3.11591317e-10    9.77233520e-10
    1.41875000e+00    3.13064709e-10    9.81192882e-10
    1.42500000e+00    3.14549775e-10    9.85166192e-10
    1.43125000e+00    3.16046553e-10    9.89153402e-10
    1.43750000e+00    3.17555478e-10    9.93155370e-10
    1.44375000e+00    3.19076584e-10    9.97171915e-10
    1.45000000e+00    3.20609882e-10    1.00120290e-09
    1.45625000e+00    3.22155869e-10    1.00524925e-09
    1.46250000e+00    3.23714551e-10    1.00931079e-09
    1.46875000e+00    3.25286033e-10    1.01338731e-09
    1.47500000e+00    3.26870704e-10    1.01747987e-09
    1.48125000e+00    3.28468600e-10    1.02158813e-09
    1.48750000e+00    3.30079954e-10    1.02571243e-09
    1.49375000e+00    3.31704856e-10    1.02985246e-09
    1.50000000e+00    3.33343686e-10    1.03400924e-09
    1.50625000e+00    3.34996457e-10    1.03818254e-09
    1.51250000e+00    3.36663430e-10    1.04237219e-09
    1.51875000e+00    3.38344851e-10    1.04657909e-09
    1.52500000e+00    3.40040858e-10    1.05080314e-09
    1.53125000e+00    3.41751741e-10    1.05504451e-09
    1.53750000e+00    3.43477521e-10    1.05930293e-09
    1.54375000e+00    3.45218654e-10    1.06357944e-09
    1.55000000e+00    3.46975243e-10    1.06787376e-09
    1.55625000e+00    3.48747241e-10    1.07218567e-09
    1.56250000e+00    3.50535303e-10    1.07651625e-09
    1.56875000e+00    3.52339534e-10    1.08086529e-09
    1.57500000e+00    3.54159990e-10    1.08523274e-09
    1.58125000e+00    3.55996883e-10    1.08961863e-09
    1.58750000e+00    3.57850440e-10    1.09402380e-09
    1.59375000e+00    3.59721148e-10    1.09844808e-09
    1.60000000e+00    3.61609031e-10    1.10289132e-09
    1.60625000e+00    3.63514364e-10    1.10735424e-09
    1.61250000e+00    3.65437398e-10    1.11183687e-09
    1.61875000e+00    3.67378367e-10    1.11633925e-09
    1.62500000e+00    3.69337415e-10    1.12086118e-09
    1.63125000e+00    3.71315022e-10    1.12540376e-09
    1.63750000e+00    3.73311321e-10    1.12996654e-09
    1.64375000e+00    3.75326340e-10    1.13454933e-09
    1.65000000e+00    3.77360763e-10    1.13915318e-09
    1.65625000e+00    3.79414594e-10    1.14377782e-09
    1.66250000e+00    3.81488141e-10    1.14842348e-09
    1.66875000e+00    3.83581481e-10    1.15308967e-09
    1.67500000e+00    3.85695448e-10    1.15777780e-09
    1.68125000e+00    3.87829785e-10    1.16248706e-09
    1.68750000e+00    3.89984716e-10    1.16721765e-09
    1.69375000e+00    3.92161022e-10    1.17197030e-09
    1.70000000e+00    3.94358753e-10    1.17674481e-09
    1.70625000e+00    3.96577842e-10    1.18154108e-09
    1.71250000e+00    3.98819217e-10    1.18635977e-09
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